Abstract
In this paper, we introduce the notion of a generalized modified $F-$con\-traction via rectangular $G-\alpha-$admissible mapping and establish some new fixed point results under Wardowski's $F-$contractive condition $(F1)$ together with an auxiliary function $\phi$ in the setting of $G-$metric spaces. Our new fixed point results improve, generalize and unify several related result in the existing literature. Moreover, we give some non-trivial examples to verify our results. Finally, we derive the existence of a solution to an integral equation to support our main findings.
Key words: $G-$metric space, $G-\alpha-$admissible, rectangular $G-\alpha-$admissible, $F-$contraction, fixed point.
Full Text
Article Information
| Title | Fixed point results of a generalized modified $F-$contraction via rectangular $G-\alpha$-admissible mapping with application |
| Source | Methods Funct. Anal. Topology, Vol. 32 (2026), no. 2, 97-115 |
| DOI | 10.31392/MFAT-npu26_2.2026.01 |
| Milestones | Received 12/04/2025; Revised 02/01/2026 |
| Copyright | The Author(s) 2026 (CC BY-SA) |
Authors Information
Asaye Ayele
Department of Mathematics, Jimma University, Jimma, Ethiopia
Kidane Koyas
Department of Mathematics, Jimma University, Jimma, Ethiopia
Citation Example
Asaye Ayele and Kidane Koyas, Fixed point results of a generalized modified $F-$contraction via rectangular $G-\alpha$-admissible mapping with application, Methods Funct. Anal. Topology 32
(2026), no. 2, 97-115.
BibTex
@article {MFAT2276,
AUTHOR = {Asaye Ayele and Kidane Koyas},
TITLE = {Fixed point results of a generalized modified $F-$contraction via rectangular $G-\alpha$-admissible mapping with application},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {32},
YEAR = {2026},
NUMBER = {2},
PAGES = {97-115},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_2.2026.01},
URL = {https://mfat.imath.kiev.ua/article/?id=2276},
}
